6. Consider a control system given by 1 2 2 2 1 3 3 () u, ra, with r(0) (1,0,0). Find a control input u : [0, +o0) R that minimizes If you are using any computational tools, you may express any relevant values or matrices rounded to three decimals.

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Chapter2: Second-order Linear Odes
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6. Consider a control system given by
1,
2
+3 u,
1 3
13
3.
with r(0) = (1,0,0). Find a control input u : [0, +o0)-
+ R that minimizes
I (1)||? + u?(t)dt.
If you are using any computational tools, you may express any relevant values or matrices rounded to
three decimals.
Transcribed Image Text:6. Consider a control system given by 1, 2 +3 u, 1 3 13 3. with r(0) = (1,0,0). Find a control input u : [0, +o0)- + R that minimizes I (1)||? + u?(t)dt. If you are using any computational tools, you may express any relevant values or matrices rounded to three decimals.
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